{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy as sp\n",
    "import matplotlib.pyplot as plt \n",
    "import seaborn as sns\n",
    "from ERANataf import ERANataf\n",
    "from ERADist import ERADist"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To be done:\n",
    "Resampling\n",
    "Check if the final steps is updated already\n",
    "Log scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "Cross Entropy for Bayesian updating\n",
    "Comments \n",
    "W :  Importance weights of the Cross Entropy method W = phi/h\n",
    "W_t : Importance weights of the improved Cross Entropy W_t = L**beta*W\n",
    "----------------------------------------------------------------\n",
    "Input\n",
    "* N         : number of samples per level\n",
    "* L_fun     : limit state function\n",
    "* max_it    : maximum number of iterations\n",
    "* Prior     : Nataf distribution object or marginal distribution\n",
    "* CV_target :  target Coefficient of vairation of weights\n",
    "----------------------------------------------------------------\n",
    "Output\n",
    "* Z         : normalisation constant\n",
    "* lv        : total number of levels\n",
    "* N_tot     : total number of samples\n",
    "* samplesU  : object with the samples in the standard nromal space\n",
    "* samplesX  : object with the samples in the original space\n",
    "* beta_t    : intermediate tempering value\n",
    "\"\"\"\n",
    "def CEBU_SG(N,L_fun, prior, max_it,CV_target):\n",
    "#     # initial check if there exists a Nataf object\n",
    "#     if isinstance(prior, ERANataf):  # use Nataf transform (dependence)\n",
    "#         dim = len(prior.Marginals)  # number of random variables (dimension)\n",
    "#         u2x = lambda u: prior.U2X(u)  # from u to x\n",
    "\n",
    "#     elif isinstance(prior, ERADist):  # use distribution information for the transformation (independence)\n",
    "#         # Here we are assuming that all the parameters have the same distribution !!!\n",
    "#         # Adjust accordingly otherwise\n",
    "#         dim = 1  # number of random variables (dimension)\n",
    "#         u2x = lambda u:prior.icdf(sp.stats.norm.cdf(u))  # from u to x\n",
    "    dim = 1\n",
    "    x2u = lambda x: (x-prior.mean())/prior.std()\n",
    "    u2x = lambda u: prior.mean()+prior.std()*u\n",
    "    L_transformed = lambda u: Likelihood(u2x(u))\n",
    "    N_tot = 0\n",
    "    mu_init = np.zeros(dim)\n",
    "    si_init = np.identity(dim)\n",
    "    beta_t = np.zeros(max_it)\n",
    "    samplesU = list()\n",
    "    # CE procedure\n",
    "    mu_U = mu_init\n",
    "    si_U = si_init\n",
    "    # Iteration\n",
    "    for t in range(max_it):\n",
    "        # Generate samples and save them\n",
    "        U = sp.stats.multivariate_normal.rvs(mean=mu_U,cov=si_U,size=N).reshape(-1,dim)\n",
    "        samplesU.append(U.T)\n",
    "\n",
    "        # Evaluate the likelihood function\n",
    "        Leval = L_transformed(U)\n",
    "        # Initialize beta, beta increases from 0 to 1\n",
    "        if t==0 :\n",
    "            beta_t[t] = 0\n",
    "        else:\n",
    "            beta_t[t] = beta_new\n",
    "\n",
    "        # calculatiing h for the likelihood weight\n",
    "        h = sp.stats.multivariate_normal.pdf(U,mu_U,si_U)\n",
    "        phi = sp.stats.multivariate_normal.pdf(U,mean=np.zeros(dim),cov = np.identity(dim))\n",
    "        W = phi/h\n",
    "        if beta_t[t] >= 1-1e-6:\n",
    "            break\n",
    "        # Count generated samples\n",
    "        N_tot += N\n",
    "        \n",
    "        Wt_fun = lambda beta: W*np.power(Leval,beta)[:,0]\n",
    "        CV_Wt_fun = lambda beta: np.std(Wt_fun(beta))/np.mean(Wt_fun(beta))\n",
    "        ESS_target = N/(1+CV_target**2)\n",
    "        ESS_observed = lambda beta: N/(1+(CV_Wt_fun(beta))**2)\n",
    "        #fmin = lambda beta: abs(ESS_target-ESS_observed(beta))\n",
    "        fmin = lambda beta: np.linalg.norm((ESS_target-ESS_observed(beta))**2)\n",
    "        beta_new = sp.optimize.fminbound(fmin,beta_t[t],1)\n",
    "        # Update W_t\n",
    "        W_t = Wt_fun(beta_new)\n",
    "        delta_Wt = np.std(W_t)/np.mean(W_t)\n",
    "        # Parameter update: closed form\n",
    "        mu_U = W_t@U/sum(W_t)\n",
    "        Xtmp = U-mu_U\n",
    "        Xo = Xtmp *np.tile(np.sqrt(W_t),(dim,1)).T\n",
    "        Si_U = np.matmul(Xo.T,Xo)/np.sum(W_t)+1e-6*np.identity(dim) \n",
    "    # total levels\n",
    "    lv = t\n",
    "    # Calculate the integral of the posterior Integral = sum(W_t)/N\n",
    "    Z = sum(W_t)/N\n",
    "    # Transform the samples to the physical/ original space\n",
    "    samplesX = list()\n",
    "    for i in range(lv):\n",
    "        samplesX.append(u2x(samplesU[i]))\n",
    "    return Z,lv,N_tot,samplesU,samplesX,beta_t \n",
    "    \n",
    "    \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 1: Conjugate prior (mean) of the normal distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# This is an example where prior p(mu) ~ N(0,1),\n",
    "mu_theta_prior, sigma_theta_prior = -10, 1\n",
    "prior = lambda theta: sp.stats.norm.pdf(theta,loc = mu_theta_prior, scale = sigma_theta_prior)\n",
    "dist_prior = ERADist(\"Normal\",\"MOM\",[mu_theta_prior,sigma_theta_prior])\n",
    "log_prior = lambda theta: sp.stats.norm.logpdf(theta,loc=mu_theta_prior,scale = sigma_theta_prior)\n",
    "# Likelihood functions p(D|mu) ~ normal\n",
    "data = np.random.randn(10)\n",
    "np.mean(data)#data.size\n",
    "# Likelihood function\n",
    "def Likelihood(theta):\n",
    "    total_likelihood = 1\n",
    "    sigma_X  = 1\n",
    "    for i in range(data.size):\n",
    "        total_likelihood = total_likelihood*sp.stats.norm.pdf(data[i],loc = theta, scale = sigma_X)\n",
    "    return total_likelihood\n",
    "def log_Likelihood(theta):\n",
    "    total_likelihood = 0\n",
    "    sigma_X  = 1\n",
    "    for i in range(data.size):\n",
    "        total_likelihood = total_likelihood+sp.stats.norm.logpdf(data[i],loc = theta, scale = sigma_X)\n",
    "    return total_likelihood\n",
    "# Posterior distribution\n",
    "def target_dist(theta):\n",
    "    return prior(theta)*Likelihood(theta)\n",
    "\n",
    "def log_target_dist(theta):\n",
    "    return log_prior(theta)+log_Likelihood(theta)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reference solution\n",
    "#### Analytical solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def posterior_analytical(mu_theta_prior,sigma_theta_prior,data):\n",
    "    n = data.size\n",
    "    x_bar = np.mean(data)\n",
    "    sigma_X = 1\n",
    "    mu_theta_posterior = (mu_theta_prior/sigma_theta_prior**2+n*x_bar/sigma_X**2)/(1/sigma_theta_prior**2+n/sigma_X**2)\n",
    "    sigma_theta_posterior = (1/sigma_theta_prior**2+n/sigma_X**2)**(-1/2)\n",
    "    return sp.stats.norm.pdf(theta,loc = mu_theta_posterior, scale = sigma_theta_posterior)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reference solution\n",
    "#### Numerical integral"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2.8178509179615962e-27, 4.328048312339776e-28)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "constant = sp.integrate.quad(target_dist,-np.inf,np.inf)\n",
    "constant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2b9d6bc0748>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta = np.arange(-5,5)\n",
    "plt.plot(theta,posterior_analytical(mu_theta_prior,sigma_theta_prior,data),'-o',label='posterior_analytical')\n",
    "plt.plot(theta,target_dist(theta)/constant[0],'-x',label='posterior_numerical')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CEBU"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 1000\n",
    "max_it = 50\n",
    "CV_target = 1.5\n",
    "dim = 1\n",
    "# # Method 2 numerical integration of the denominator\n",
    "# # constant = sp.integrate.quad(target_dist,-np.inf,np.inf)\n",
    "# constant = sp.integrate.quad(target_dist,0,100)\n",
    "[Z,lv,N_tot,samplesU,samplesX,beta_t] = CEBU_SG(N,Likelihood,dist_prior,max_it,CV_target)\n",
    "# Plot samples \n",
    "if dim == 1:\n",
    "    nnp = 200\n",
    "    xx = np.linspace(-6,6,nnp)\n",
    "    sns.distplot(samplesU[0],label='beta=0')\n",
    "    for sample in samplesU[1:-1]:\n",
    "        sns.distplot(sample)\n",
    "        #plt.plot(*sample,\".\",markersize=2)\n",
    "    sns.distplot(samplesU[-1],label='beta=1')\n",
    "    plt.xlabel('u')\n",
    "    plt.ylabel('target_dist')\n",
    "    plt.title('Intermediate target distribution in tranformed space')\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "if dim == 1:\n",
    "    nnp = 200\n",
    "    xx = np.linspace(-6,6,nnp)\n",
    "    sns.distplot(samplesX[0],label='beta=0')\n",
    "    for sample in samplesX[1:-1]:\n",
    "        sns.distplot(sample)\n",
    "        #plt.plot(*sample,\".\",markersize=2)\n",
    "    sns.distplot(samplesX[-1],label='beta=1')\n",
    "    plt.xlabel('x')\n",
    "    plt.ylabel('target_dist')\n",
    "    plt.title('Intermediate target distribution in physical space')\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Reference solution\n",
    "#### Analytical solution\n",
    "#### Numerical integral"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 2: crack model with only one Random Variable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Parameter definition\n",
    "# Fixed parameters\n",
    "m = 3.5\n",
    "C = np.exp(-1.5667*m - 27.5166)\n",
    "a_0 = 0.10\n",
    "t = 50 # lifetime\n",
    "mu_DS , sigma_DS = 60,10\n",
    "a = lambda DS: ((1-m/2)*C*DS**m*(np.pi)**(m/2)*10**5 * t + a_0**(1-m/2))**((1-m/2)**(-1))\n",
    "prior = lambda DS: sp.stats.norm.pdf(DS,loc = mu_DS,scale=sigma_DS)\n",
    "dist_prior = ERADist(\"Normal\",\"MOM\",[mu_DS,sigma_DS])\n",
    "# Likelihood function\n",
    "a_star = a(70)\n",
    "a_tilde = np.random.normal(a_star, 0.01, 10)\n",
    "def Likelihood(DS):\n",
    "    total_likelihood = 1\n",
    "    for i in range(a_tilde.size):\n",
    "        total_likelihood = total_likelihood * sp.stats.norm.pdf(a(DS) - a_tilde[i], loc=0, scale =0.01)\n",
    "    return total_likelihood\n",
    "def target_dist(DS):\n",
    "    return prior(DS)*Likelihood(DS)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reference solution\n",
    "#### Numerical integral"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(286501417849515.1, 3239247.2725675395)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "constant = sp.integrate.quad(target_dist,0,100)\n",
    "constant"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CEBU"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 1000\n",
    "max_it = 50\n",
    "CV_target = 1.5\n",
    "dim = 1\n",
    "# # Method 2 numerical integration of the denominator\n",
    "# # constant = sp.integrate.quad(target_dist,-np.inf,np.inf)\n",
    "# constant = sp.integrate.quad(target_dist,0,100)\n",
    "\n",
    "[Z,lv,N_tot,samplesU,samplesX,beta_t] = CEBU_SG(N,Likelihood,dist_prior,max_it,CV_target)\n",
    "# Plot samples \n",
    "if dim == 1:\n",
    "    nnp = 200\n",
    "    xx = np.linspace(-6,6,nnp)\n",
    "    sns.distplot(samplesU[0],label='beta=0')\n",
    "    for sample in samplesU[1:-1]:\n",
    "        sns.distplot(sample)\n",
    "        #plt.plot(*sample,\".\",markersize=2)\n",
    "    sns.distplot(samplesU[-1],label='beta=1')\n",
    "    plt.xlabel('u')\n",
    "    plt.ylabel('target_dist')\n",
    "    plt.title('Intermediate target distribution in tranformed space')\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "if dim == 1:\n",
    "    nnp = 200\n",
    "    xx = np.linspace(-6,6,nnp)\n",
    "    sns.distplot(samplesX[0],label='beta=0')\n",
    "    for sample in samplesX[1:-1]:\n",
    "        sns.distplot(sample)\n",
    "        #plt.plot(*sample,\".\",markersize=2)\n",
    "    sns.distplot(samplesX[-1],label='beta=1')\n",
    "    plt.xlabel('x')\n",
    "    plt.ylabel('target_dist')\n",
    "    plt.title('Intermediate target distribution in physical space')\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
